Base | Representation |
---|---|
bin | 11001101000110… |
… | …010110110000010 |
3 | 1002222100120210000 |
4 | 121220302312002 |
5 | 1340102440133 |
6 | 110403020430 |
7 | 13441666023 |
oct | 3150626602 |
9 | 1088316700 |
10 | 430124418 |
11 | 200880929 |
12 | 10006a716 |
13 | 6b15b0b9 |
14 | 411a6c4a |
15 | 27b64413 |
hex | 19a32d82 |
430124418 has 40 divisors (see below), whose sum is σ = 969188220. Its totient is φ = 142572960.
The previous prime is 430124417. The next prime is 430124419. The reversal of 430124418 is 814421034.
It is an interprime number because it is at equal distance from previous prime (430124417) and next prime (430124419).
It can be written as a sum of positive squares in 2 ways, for example, as 400280049 + 29844369 = 20007^2 + 5463^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 430124391 and 430124400.
It is not an unprimeable number, because it can be changed into a prime (430124417) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21988 + ... + 36656.
Almost surely, 2430124418 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 430124418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484594110).
430124418 is an abundant number, since it is smaller than the sum of its proper divisors (539063802).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430124418 is a wasteful number, since it uses less digits than its factorization.
430124418 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14864 (or 14855 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 430124418 is about 20739.4411207245. The cubic root of 430124418 is about 754.8570218851.
The spelling of 430124418 in words is "four hundred thirty million, one hundred twenty-four thousand, four hundred eighteen".
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